{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 移除自环, 多边\n",
    "\n",
    "import igraph as ig\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "g1 = ig.Graph([\n",
    "    (0, 1),\n",
    "    (1, 2),\n",
    "    (2, 3),\n",
    "    (3, 4),\n",
    "    (4, 0),\n",
    "    (0, 0),\n",
    "    (1, 4),\n",
    "    (1, 4),\n",
    "    (0, 2),\n",
    "    (2, 4),\n",
    "    (2, 4),\n",
    "    (2, 4),\n",
    "    (3, 3)],\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<igraph.Graph at 0x7fc8769b5740>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "g2 = g1.copy()\n",
    "g2.simplify()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "visual_style = {\n",
    "    \"vertex_color\": \"lightblue\",\n",
    "    \"vertex_size\": 0.4,\n",
    "    \"vertex_label\": [0, 1, 2, 3, 4],\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(1, 2, sharex=True, sharey=True)\n",
    "ig.plot(\n",
    "    g1,\n",
    "    layout=\"circle\",\n",
    "    target=axs[0],\n",
    "    **visual_style,\n",
    ")\n",
    "ig.plot(\n",
    "    g2,\n",
    "    layout=\"circle\",\n",
    "    target=axs[1],\n",
    "    **visual_style,\n",
    ")\n",
    "axs[0].set_title('Multigraph...')\n",
    "axs[1].set_title('...simplified')\n",
    "# Draw rectangles around axes\n",
    "axs[0].add_patch(plt.Rectangle(\n",
    "    (0, 0), 1, 1, fc='none', ec='k', lw=4, transform=axs[0].transAxes,\n",
    "    ))\n",
    "axs[1].add_patch(plt.Rectangle(\n",
    "    (0, 0), 1, 1, fc='none', ec='k', lw=4, transform=axs[1].transAxes,\n",
    "    ))\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.10.6 ('py310')",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.6"
  },
  "orig_nbformat": 4,
  "vscode": {
   "interpreter": {
    "hash": "49ec5068d4d6d3736c39d3918a16f1ca551a23384109b69898c01c2015d1370c"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
